TIMEOUT (t) | WRONG (w) | BEST (b) | FASTEST (b) | UNSAT (u) | SUBOPTIMAL (s) |
Problem | mccs+cbc | mccs+cplex | mccs+glpk | mccs+gurobi | mccs+lpsolve | mccs+scip | packup+core_merge | packup+core_merge_dc | packup+core_rebuild | packup+core_rebuild_dc | packup+core_rebuild_incr | packup+core_rebuild_incr_dc | packup+core_static | packup+binary | packup+linear-su | packup+linear-us | Problem |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
rand439.cudf | Time: 180.168s t |
Time: 55.0888s b 446 446 22 36 |
Time: 180.032s t |
Time: 37.9771s b 446 446 22 36 |
Time: 180.13s t |
Time: 181.097s t |
SN 1: 1311w 413139c SN 2: 2059w 476508c SN 3: 377w 18228c SN 4: 767w 35703c Time: 183.15s t 1848 3564 496 2657 |
SN 1: 661w 14056c SN 2: 987w 23162c SN 3: 45w 342c SN 4: 32w 191c Time: 180.23s t 302 655 17 25 |
SN 1: 745w 16366c SN 2: 903w 20795c SN 3: 5w 9c SN 4: 9w 26c Time: 180.226s t 1848 3564 496 2657 |
SN 1: 661w 14056c SN 2: 987w 23162c SN 3: 45w 342c SN 4: 32w 191c Time: 180.201s t 302 655 17 25 |
Time: 56.1789s w |
SN 1: 661w 14056c SN 2: 987w 23162c SN 3: 45w 342c SN 4: 32w 191c Time: 180.264s t 302 655 17 25 |
SN 1: 3485w 115754c SN 2: 5176w 189903c SN 3: 3483w 115683c SN 4: 4226w 145930c Time: 180.407s t 1848 3564 496 2657 |
SN 1: 3485w 115754c SN 2: 5176w 189903c SN 3: 3483w 115683c SN 4: 4226w 145930c Time: 181.055s t 701 386 98 105 |
SN 1: 3485w 115754c SN 2: 5176w 189903c SN 3: 3483w 115683c SN 4: 4226w 145930c Time: 181.321s t 66 912 10 25 |
SN 1: 3485w 115754c SN 2: 5176w 189903c SN 3: 3483w 115683c SN 4: 4226w 145930c Time: 181.131s t 1848 3564 496 2657 |
rand439.cudf |
rand375.cudf | Time: 190.22s t |
Time: 13.2641s b 269 269 20 0 |
Time: 180.039s t |
Time: 10.8668s b 269 269 20 0 |
Time: 180.043s t |
Time: 190.365s t |
SN 1: 526w 137052c SN 2: 650w 185093c SN 3: 22w 174c SN 4: 1w 0c Time: 180.663s t 925 1925 372 1411 |
SN 1: 527w 10235c SN 2: 647w 13627c SN 3: 23w 122c SN 4: 2w 1c Time: 180.169s t 165 404 10 1 |
SN 1: 527w 10235c SN 2: 654w 13841c SN 3: 22w 114c SN 4: 1w 0c Time: 180.153s t 925 1925 372 1411 |
SN 1: 527w 10235c SN 2: 647w 13627c SN 3: 23w 122c SN 4: 2w 1c Time: 180.134s t 165 404 10 1 |
Time: 31.5172s w |
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SN 1: 2123w 61760c SN 2: 3425w 113399c SN 3: 1739w 48333c SN 4: 2789w 88223c Time: 180.699s t 925 1925 372 1411 |
SN 1: 2123w 61760c SN 2: 3425w 113399c SN 3: 1739w 48333c SN 4: 2789w 88223c Time: 180.665s t 462 697 24 431 |
SN 1: 2123w 61760c SN 2: 3425w 113399c SN 3: 1739w 48333c SN 4: 2789w 88223c Time: 180.644s t 419 419 56 247 |
SN 1: 2123w 61760c SN 2: 3425w 113399c SN 3: 1739w 48333c SN 4: 2789w 88223c Time: 180.74s t 925 1925 372 1411 |
rand375.cudf |
rand790.cudf | Time: 180.138s t |
Time: 25.2139s b 475 478 62 62 |
Time: 180.13s t |
Time: 19.5266s b 475 478 62 62 |
Time: 180.145s t |
Time: 180.454s t |
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SN 1: 515w 9850c SN 2: 975w 22830c SN 3: 3w 3c SN 4: 14w 53c Time: 180.253s t 1511 2982 408 2107 |
SN 1: 734w 16061c SN 2: 1231w 31306c SN 3: 340w 5849c SN 4: 505w 9610c Time: 25.2267s b 475 478 62 62 |
Time: 25.2085s w |
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rand790.cudf |
rand598.cudf | Time: 180.168s t |
Time: 33.9283s b 447 447 28 48 |
Time: 180.097s t |
Time: 26.4866s b 447 447 28 48 |
Time: 180.05s t |
Time: 180.314s t |
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Time: 48.3258s w |
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SN 1: 2670w 83559c SN 2: 3886w 131555c SN 3: 2235w 66322c SN 4: 2936w 93915c Time: 180.667s t 1213 2728 563 1833 |
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rand598.cudf |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf | Time: 180.123s t |
Time: 17.3151s b 219 219 58 8 |
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Time: 9.93026s b 219 219 58 8 |
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SN 1: 349w 6049c SN 2: 439w 8121c SN 3: 19w 91c SN 4: 0w 0c Time: 20.5129s s 894 1720 379 1104 |
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SN 1: 1760w 48975c SN 2: 2797w 88512c SN 3: 1371w 36017c SN 4: 1847w 51945c Time: 180.413s t 894 1720 379 1104 |
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SN 1: 1760w 48975c SN 2: 2797w 88512c SN 3: 1371w 36017c SN 4: 1847w 51945c Time: 180.43s t 894 1720 379 1104 |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf |
0207e19a-9b1c-11df-af69-00163e46d37a.cudf | Time: 22.5328s s 403 402 78 0 |
Time: 3.45677s b 403 402 77 0 |
Time: 180.097s t |
Time: 3.47739s b 403 402 77 0 |
Time: 180.032s t |
Time: 60.9422s b 403 402 77 0 |
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SN 1: 823w 18577c SN 2: 925w 21443c SN 3: 137w 1669c SN 4: 203w 2894c Time: 180.13s t 791 14 76 0 |
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0207e19a-9b1c-11df-af69-00163e46d37a.cudf |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf | Time: 10.2126s s 238 239 35 0 |
Time: 1.63592s b 239 238 34 0 |
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Time: 58.9026s w |
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SN 1: 739w 16200c SN 2: 3152w 102399c SN 3: 1429w 37926c SN 4: 1315w 34103c Time: 180.318s t 471 6 34 0 |
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caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf | Time: 9.34366s s 166 166 33 0 |
Time: 1.4758s b 166 166 32 0 |
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Time: 14.8968s s 166 166 33 0 |
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f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf |
rand692.cudf | Time: 31.1652s b 139 140 15 4 |
Time: 4.13965s b 139 140 15 4 |
Time: 180.02s t |
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Time: 180.019s t |
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rand692.cudf |
rand740.cudf | Time: 180.145s t |
Time: 13.8438s b 269 269 20 0 |
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Time: 32.8789s w |
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rand740.cudf |
rand434.cudf | Time: 22.1825s b 143 144 19 64 |
Time: 3.83822s b 144 143 19 64 |
Time: 180.026s t |
Time: 3.22105s b 144 143 19 64 |
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Time: 38.2217s b 144 143 19 64 |
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rand434.cudf |
c2164c84-b015-11df-8b50-00163e46d37a.cudf | Time: 4.15001s b 19 19 19 12 |
Time: 0.969267s b 19 19 19 12 |
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Time: 180.109s t |
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c2164c84-b015-11df-8b50-00163e46d37a.cudf |
56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf | Time: 180.141s t |
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56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf |
rand7.cudf | Time: 1.86382s b 0 379 62 19 |
Time: 0.584964s b 0 379 62 19 |
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SN 1: 620w 12901c SN 2: 887w 20355c SN 3: 42w 309c SN 4: 57w 474c Time: 180.211s t 525 393 27 49 |
SN 1: 777w 17220c SN 2: 1550w 41810c SN 3: 268w 4169c SN 4: 621w 12931c Time: 180.217s t 41 994 35 87 |
SN 1: 620w 12901c SN 2: 887w 20355c SN 3: 42w 309c SN 4: 57w 474c Time: 180.1s t 525 393 27 49 |
Time: 27.1141s w |
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SN 1: 1695w 46844c SN 2: 2654w 82921c SN 3: 1111w 27271c SN 4: 1704w 47167c Time: 180.495s t 41 994 35 87 |
rand230.cudf |
rand662.cudf | Time: 180.156s t |
Time: 47.0531s s 1013 1013 12 12 |
Time: 180.04s t |
Time: 28.6359s b 1013 1013 11 12 |
Time: 180.094s t |
Time: 180.507s t |
Time: 75.7132s w |
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SN 1: 1953w 55456c SN 2: 2170w 63635c SN 3: 16w 63c SN 4: 5w 9c Time: 180.17s t 432 1737 7 14 |
Time: 26.8075s w |
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SN 1: 3034w 97625c SN 2: 4677w 167188c SN 3: 3082w 99353c SN 4: 1785w 49763c Time: 180.845s t 1532 1745 65 808 |
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SN 1: 3034w 97625c SN 2: 4677w 167188c SN 3: 3082w 99353c SN 4: 1785w 49763c Time: 180.9s t 821 3490 638 1050 |
rand662.cudf |
2c3aece6-c8b2-11df-a040-00163e3d3b7c.cudf | Time: 31.5203s b 937 936 46 0 |
Time: 4.07664s b 937 936 46 0 |
Time: 180.098s t |
Time: 3.15075s b 937 936 46 0 |
Time: 180.18s t |
Time: 52.5446s b 937 936 46 0 |
Time: 97.1347s w |
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2c3aece6-c8b2-11df-a040-00163e3d3b7c.cudf |
d5026b8e-3477-11e0-986e-00163e3d3b7c.cudf | Time: 10.0228s s 238 239 35 0 |
Time: 1.64774s b 239 238 34 0 |
Time: 180.117s t |
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Time: 59.1304s w |
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d5026b8e-3477-11e0-986e-00163e3d3b7c.cudf |
8afdd89e-51b8-11e0-acd7-00163e1e087d.cudf | Time: 150.078s b 499 499 10 19 |
Time: 15.1117s b 499 499 10 19 |
Time: 180.102s t |
Time: 10.3051s b 499 499 10 19 |
Time: 180.14s t |
Time: 161.642s b 499 499 10 19 |
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Time: 21.6667s w |
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8afdd89e-51b8-11e0-acd7-00163e1e087d.cudf |
rand105.cudf | Time: 180.126s t |
Time: 14.691s b 269 269 20 0 |
Time: 180.032s t |
Time: 12.2126s b 269 269 20 0 |
Time: 180.136s t |
Time: 180.44s t |
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SN 1: 517w 9921c SN 2: 648w 13651c SN 3: 29w 171c SN 4: 2w 1c Time: 180.159s t 860 2387 419 1825 |
SN 1: 521w 10052c SN 2: 644w 13525c SN 3: 24w 127c SN 4: 2w 1c Time: 180.134s t 195 364 10 0 |
Time: 30.982s w |
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SN 1: 2122w 61713c SN 2: 3424w 113343c SN 3: 1739w 48333c SN 4: 2788w 88177c Time: 180.704s t 860 2387 419 1825 |
rand105.cudf |
rand298.cudf | Time: 1.00157s b 0 90 89 42 |
Time: 0.366793s b 0 90 89 42 |
Time: 0.187632s w |
Time: 0.346035s b 0 90 89 42 |
Time: 1.73377s b 0 90 89 42 |
Time: 1.47166s b 0 90 89 42 |
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SN 1: 0w 0c SN 2: 203w 3227c SN 3: 93w 1071c SN 4: 5w 9c Time: 0.383351s b 0 90 89 42 |
SN 1: 0w 0c SN 2: 271w 4240c SN 3: 89w 922c SN 4: 42w 309c Time: 3.0938s b 0 90 89 42 |
SN 1: 0w 0c SN 2: 203w 2894c SN 3: 93w 977c SN 4: 5w 9c Time: 0.402755s b 0 90 89 42 |
SN 1: 0w 0c SN 2: 271w 4240c SN 3: 89w 922c SN 4: 42w 309c Time: 2.96933s b 0 90 89 42 |
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SN 1: 0w 0c SN 2: 1858w 52286c SN 3: 476w 8969c SN 4: 908w 20949c Time: 1.00086s b 0 90 89 42 |
rand298.cudf |
rand519.cudf | Time: 180.188s t |
Time: 73.4673s b 458 459 28 55 |
Time: 180.04s t |
Time: 46.1704s b 458 459 28 55 |
Time: 180.028s t |
Time: 180.696s t |
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SN 1: 500w 9505c SN 2: 938w 21821c SN 3: 53w 431c SN 4: 104w 1135c Time: 180.251s t 435 544 25 55 |
SN 1: 588w 12009c SN 2: 1036w 24581c SN 3: 2w 1c SN 4: 18w 82c Time: 180.25s t 1813 3839 529 2930 |
SN 1: 500w 9505c SN 2: 938w 21821c SN 3: 53w 431c SN 4: 104w 1135c Time: 180.259s t 435 544 25 55 |
Time: 31.3161s w |
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SN 1: 3668w 122985c SN 2: 5301w 195965c SN 3: 3749w 126227c SN 4: 4351w 151788c Time: 180.347s t |
SN 1: 3668w 122985c SN 2: 5301w 195965c SN 3: 3749w 126227c SN 4: 4351w 151788c Time: 181.203s t 510 628 62 149 |
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rand519.cudf |
rand600.cudf | Time: 3.75631s b 0 208 86 35 |
Time: 0.716764s b 0 208 86 35 |
Time: 0.189998s w |
Time: 0.540889s b 0 208 86 35 |
Time: 2.55558s b 0 208 86 35 |
Time: 6.19309s b 0 208 86 35 |
SN 1: 0w 0c SN 2: 369w 51915c SN 3: 86w 3655c SN 4: 39w 646c Time: 0.707466s b 0 208 86 35 |
SN 1: 0w 0c SN 2: 248w 4214c SN 3: 97w 1269c SN 4: 23w 122c Time: 0.431022s b 0 208 86 35 |
SN 1: 0w 0c SN 2: 571w 11514c SN 3: 115w 1301c SN 4: 219w 3192c Time: 8.03997s b 0 208 86 35 |
SN 1: 0w 0c SN 2: 339w 5829c SN 3: 110w 1226c SN 4: 169w 2268c Time: 0.944365s b 0 208 86 35 |
SN 1: 0w 0c SN 2: 534w 10457c SN 3: 112w 1247c SN 4: 208w 2975c Time: 30.355s b 0 208 86 35 |
SN 1: 0w 0c SN 2: 359w 6279c SN 3: 114w 1284c SN 4: 195w 2731c Time: 1.48538s b 0 208 86 35 |
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SN 1: 0w 0c SN 2: 1862w 52446c SN 3: 506w 9630c SN 4: 912w 21055c Time: 2.90629s b 0 208 86 35 |
rand600.cudf |
rand208.cudf | Time: 180.168s t |
Time: 62.9609s b 497 497 38 141 |
Time: 180.107s t |
Time: 40.4352s b 497 497 38 141 |
Time: 180.024s t |
Time: 180.867s t |
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SN 1: 679w 14566c SN 2: 1322w 34360c SN 3: 75w 722c SN 4: 203w 2894c Time: 180.247s t 428 668 38 124 |
SN 1: 646w 13595c SN 2: 1004w 23609c SN 3: 6w 12c SN 4: 42w 309c Time: 180.18s t |
SN 1: 679w 14566c SN 2: 1322w 34360c SN 3: 75w 722c SN 4: 203w 2894c Time: 180.195s t 428 668 38 124 |
Time: 36.353s w |
SN 1: 679w 14566c SN 2: 1322w 34360c SN 3: 75w 722c SN 4: 203w 2894c Time: 180.308s t 428 668 38 124 |
SN 1: 3559w 118529c SN 2: 5294w 195640c SN 3: 3558w 118493c SN 4: 4344w 151535c Time: 181.014s t 1886 3753 492 2852 |
SN 1: 3559w 118529c SN 2: 5294w 195640c SN 3: 3558w 118493c SN 4: 4344w 151535c Time: 181.185s t 718 351 104 142 |
SN 1: 3559w 118529c SN 2: 5294w 195640c SN 3: 3558w 118493c SN 4: 4344w 151535c Time: 181.273s t 699 332 107 146 |
SN 1: 3559w 118529c SN 2: 5294w 195640c SN 3: 3558w 118493c SN 4: 4344w 151535c Time: 181.365s t 1886 3753 492 2852 |
rand208.cudf |
rand796.cudf | Time: 180.18s t |
Time: 14.114s b 269 269 20 0 |
Time: 180.038s t |
Time: 11.3901s b 269 269 20 0 |
Time: 180.039s t |
Time: 180.329s t |
SN 1: 534w 140961c SN 2: 671w 190650c SN 3: 24w 198c SN 4: 0w 0c Time: 180.67s t 756 2298 433 1731 |
SN 1: 540w 10625c SN 2: 669w 14275c SN 3: 27w 155c SN 4: 0w 0c Time: 180.225s t 170 393 12 0 |
SN 1: 535w 10486c SN 2: 662w 14083c SN 3: 22w 114c SN 4: 0w 0c Time: 180.254s t 756 2298 433 1731 |
SN 1: 540w 10625c SN 2: 669w 14275c SN 3: 27w 155c SN 4: 0w 0c Time: 180.141s t 170 393 12 0 |
Time: 23.6088s w |
SN 1: 540w 10625c SN 2: 669w 14275c SN 3: 27w 155c SN 4: 0w 0c Time: 180.157s t 170 393 12 0 |
SN 1: 2122w 61713c SN 2: 3424w 113343c SN 3: 1739w 48333c SN 4: 2788w 88177c Time: 180.589s t 756 2298 433 1731 |
SN 1: 2122w 61713c SN 2: 3424w 113343c SN 3: 1739w 48333c SN 4: 2788w 88177c Time: 180.481s t 128 493 17 2 |
SN 1: 2122w 61713c SN 2: 3424w 113343c SN 3: 1739w 48333c SN 4: 2788w 88177c Time: 180.722s t 526 20 28 4 |
SN 1: 2122w 61713c SN 2: 3424w 113343c SN 3: 1739w 48333c SN 4: 2788w 88177c Time: 180.659s t 756 2298 433 1731 |
rand796.cudf |
rand21.cudf | Time: 180.147s t |
Time: 49.4966s b 1012 1012 10 5 |
Time: 180.029s t |
Time: 30.0953s b 1012 1012 10 5 |
Time: 180.093s t |
Time: 180.602s t |
Time: 95.288s w |
SN 1: 1942w 55110c SN 2: 2175w 63789c SN 3: 23w 122c SN 4: 1w 0c Time: 180.335s t 466 1664 10 6 |
SN 1: 819w 18469c SN 2: 917w 21224c SN 3: 0w 0c SN 4: 3w 3c Time: 180.254s t 848 3472 573 1011 |
SN 1: 1942w 55110c SN 2: 2175w 63789c SN 3: 23w 122c SN 4: 1w 0c Time: 180.204s t 466 1664 10 6 |
Time: 27.3414s w |
SN 1: 1942w 55110c SN 2: 2175w 63789c SN 3: 23w 122c SN 4: 1w 0c Time: 180.306s t 466 1664 10 6 |
SN 1: 3032w 97547c SN 2: 4676w 167125c SN 3: 3083w 99404c SN 4: 1784w 49727c Time: 180.757s t 848 3472 573 1011 |
SN 1: 3032w 97547c SN 2: 4676w 167125c SN 3: 3083w 99404c SN 4: 1784w 49727c Time: 180.858s t 1375 1736 72 671 |
SN 1: 3032w 97547c SN 2: 4676w 167125c SN 3: 3083w 99404c SN 4: 1784w 49727c Time: 180.916s t 1902 2538 101 1432 |
SN 1: 3032w 97547c SN 2: 4676w 167125c SN 3: 3083w 99404c SN 4: 1784w 49727c Time: 181.003s t 848 3472 573 1011 |
rand21.cudf |
* Time in seconds:
- In the case of packup, we also show the size of the sorting networks: the number of wires and the number of comparators. In the case of dynamic sorting networks, we show the size of the largest sorting networks.
* one of the following letters:
- t (if the solver reached a timeout (180 seconds); the numbers that follow are the values of the objective functions for the feasible solution output by the solver
- u (if the solver outputs UNSAT)
- w (if the output is wrong)
- s (if the output is a feasible solution and is suboptimal; the numbers that follow are the objective values)
- b (if the output is a solution and no better solution was found; the numbers that follow are the objective values)
* All solvers and tools were run with a single thread.
* The package upgradeability tool mccs , version 1.1, implements the ILP-based algorithm, explained in this report. The algorithm is adapted from this work in the context of Constraint Programming. mccs was run with the following ILP solvers:
- Gurobi, version 9.0.3
- CPLEX, version 12.10.0
- SCIP, version 7.0.1
- Cbc, version devel, build date: January 14 2021
- GLPK, version v4.65
- lpsolve, version 5.5.2.5
* The package upgradeability tool packup was linked to a C++ library implementing SAT-based leximax optimisation algorithms. The following algorithms were tested:
Non-core-guided algorithms (static sorting networks, each with the largest possible size):
- linear-su (Linear SAT-UNSAT search)
- linear-us (Linear UNSAT-SAT search)
- binary (Binary search)
Core-guided algorithms:
- core-static (Static sorting networks)
- core-merge (Dynamic sorting networks that grow by sorting the new variables and merging with the old sorting networks)
- core-rebuild (Dynamic sorting networks that grow by rebuilding the sorting networks and deleting the old encoding - does not allow continuous incremental SAT solving)
- core-rebuild-incr (Dynamic sorting networks that grow by rebuilding the sorting networks; does not delete the old encoding - allows incremental SAT solving)
- core-merge-dc (core-merge + disjoint cores step)
- core-rebuild-dc (core-rebuild + disjoint cores step)
- core-rebuild-incr-dc (core-rebuild-incr + disjoint cores step)
The CaDiCaL incremental SAT solving library was used, version 1.3.1.